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<div class="title">qwt_bezier.cpp</div>  </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/******************************************************************************</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> * Qwt Widget Library</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> * Copyright (C) 1997   Josef Wilgen</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> * Copyright (C) 2002   Uwe Rathmann</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> *</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> * This library is free software; you can redistribute it and/or</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> * modify it under the terms of the Qwt License, Version 1.0</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> *****************************************************************************/</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &quot;qwt_bezier.h&quot;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#include &quot;qwt_math.h&quot;</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &lt;qpolygon.h&gt;</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="preprocessor">#include &lt;qstack.h&gt;</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160; </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="keyword">namespace</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;{</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;    <span class="keyword">class </span>BezierData</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    {</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;      <span class="keyword">public</span>:</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        <span class="keyword">inline</span> BezierData()</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        {</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;            <span class="comment">// default constructor with uninitialized points</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;        }</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160; </div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;        <span class="keyword">inline</span> BezierData( <span class="keyword">const</span> QPointF&amp; p1, <span class="keyword">const</span> QPointF&amp; cp1,</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                <span class="keyword">const</span> QPointF&amp; cp2, <span class="keyword">const</span> QPointF&amp; p2 ):</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;            m_x1( p1.x() ),</div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;            m_y1( p1.y() ),</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;            m_cx1( cp1.x() ),</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;            m_cy1( cp1.y() ),</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;            m_cx2( cp2.x() ),</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;            m_cy2( cp2.y() ),</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;            m_x2( p2.x() ),</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;            m_y2( p2.y() )</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        {</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;        }</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160; </div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;        <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">double</span> minFlatness( <span class="keywordtype">double</span> tolerance )</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        {</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;            <span class="comment">// we can simplify the tolerance criterion check in</span></div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;            <span class="comment">// the subdivision loop, by precalculating some</span></div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;            <span class="comment">// flatness value.</span></div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160; </div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;            <span class="keywordflow">return</span> 16 * ( tolerance * tolerance );</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        }</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160; </div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">double</span> flatness()<span class="keyword"> const</span></div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            <span class="comment">// algo by Roger Willcocks ( http://www.rops.org )</span></div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160; </div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> ux = 3.0 * m_cx1 - 2.0 * m_x1 - m_x2;</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> uy = 3.0 * m_cy1 - 2.0 * m_y1 - m_y2;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> vx = 3.0 * m_cx2 - 2.0 * m_x2 - m_x1;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> vy = 3.0 * m_cy2 - 2.0 * m_y2 - m_y1;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160; </div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> ux2 = ux * ux;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> uy2 = uy * uy;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160; </div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> vx2 = vx * vx;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> vy2 = vy * vy;</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160; </div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;            <span class="keywordflow">return</span> qwtMaxF( ux2, vx2 ) + qwtMaxF( uy2, vy2 );</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;        }</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160; </div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">inline</span> BezierData subdivided()</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;        {</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;            BezierData bz;</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160; </div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> c1 = midValue( m_cx1, m_cx2 );</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160; </div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;            bz.m_cx1 = midValue( m_x1, m_cx1 );</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;            m_cx2 = midValue( m_cx2, m_x2 );</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;            bz.m_x1 = m_x1;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;            bz.m_cx2 = midValue( bz.m_cx1, c1 );</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;            m_cx1 = midValue( c1, m_cx2 );</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;            bz.m_x2 = m_x1 = midValue( bz.m_cx2, m_cx1 );</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160; </div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;            <span class="keyword">const</span> <span class="keywordtype">double</span> c2 = midValue( m_cy1, m_cy2 );</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160; </div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            bz.m_cy1 = midValue( m_y1, m_cy1 );</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;            m_cy2 = midValue( m_cy2, m_y2 );</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;            bz.m_y1 = m_y1;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;            bz.m_cy2 = midValue( bz.m_cy1, c2 );</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;            m_cy1 = midValue( m_cy2, c2 );</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;            bz.m_y2 = m_y1 = midValue( bz.m_cy2, m_cy1 );</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160; </div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;            <span class="keywordflow">return</span> bz;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        }</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160; </div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <span class="keyword">inline</span> QPointF p2()<span class="keyword"> const</span></div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;            <span class="keywordflow">return</span> QPointF( m_x2, m_y2 );</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        }</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160; </div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;      <span class="keyword">private</span>:</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">double</span> midValue( <span class="keywordtype">double</span> v1, <span class="keywordtype">double</span> v2 )</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        {</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            <span class="keywordflow">return</span> 0.5 * ( v1 + v2 );</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        }</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160; </div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;        <span class="keywordtype">double</span> m_x1, m_y1;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;        <span class="keywordtype">double</span> m_cx1, m_cy1;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        <span class="keywordtype">double</span> m_cx2, m_cy2;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        <span class="keywordtype">double</span> m_x2, m_y2;</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    };</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;}</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160; </div>
<div class="line"><a name="l00116"></a><span class="lineno"><a class="line" href="class_qwt_bezier.html#a7b74d8e4874bc39110c84f74594d61b9">  116</a></span>&#160;<a class="code" href="class_qwt_bezier.html#a7b74d8e4874bc39110c84f74594d61b9">QwtBezier::QwtBezier</a>( <span class="keywordtype">double</span> tolerance )</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    : m_tolerance( qwtMaxF( tolerance, 0.0 ) )</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    , m_flatness( BezierData::minFlatness( m_tolerance ) )</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;{</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;}</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160; </div>
<div class="line"><a name="l00123"></a><span class="lineno"><a class="line" href="class_qwt_bezier.html#a750ad26d6b7a3c37685f03db98868d3f">  123</a></span>&#160;<a class="code" href="class_qwt_bezier.html#a750ad26d6b7a3c37685f03db98868d3f">QwtBezier::~QwtBezier</a>()</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;{</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;}</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160; </div>
<div class="line"><a name="l00141"></a><span class="lineno"><a class="line" href="class_qwt_bezier.html#a5c0ad844ea7d4ee69f3c391fd1a93ae7">  141</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="class_qwt_bezier.html#a5c0ad844ea7d4ee69f3c391fd1a93ae7">QwtBezier::setTolerance</a>( <span class="keywordtype">double</span> tolerance )</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;{</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;    m_tolerance = qwtMaxF( <a class="code" href="class_qwt_bezier.html#a53b980b7397ef4bdcbc011d6556108b8">tolerance</a>, 0.0 );</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    m_flatness = BezierData::minFlatness( m_tolerance );</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;}</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160; </div>
<div class="line"><a name="l00157"></a><span class="lineno"><a class="line" href="class_qwt_bezier.html#a1cac7efebcc8bf42fe9a12552a9d727d">  157</a></span>&#160;QPolygonF <a class="code" href="class_qwt_bezier.html#a1cac7efebcc8bf42fe9a12552a9d727d">QwtBezier::toPolygon</a>( <span class="keyword">const</span> QPointF&amp; p1,</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;    <span class="keyword">const</span> QPointF&amp; cp1, <span class="keyword">const</span> QPointF&amp; cp2, <span class="keyword">const</span> QPointF&amp; p2 )<span class="keyword"> const</span></div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    QPolygonF polygon;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160; </div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    <span class="keywordflow">if</span> ( m_flatness &gt; 0.0 )</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    {</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        <span class="comment">// a flatness of 0.0 is not achievable</span></div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;        <a class="code" href="class_qwt_bezier.html#a1e67390b7109a819d29b043418bcb1b5">appendToPolygon</a>( p1, cp1, cp2, p2, polygon );</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    }</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160; </div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    <span class="keywordflow">return</span> polygon;</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;}</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160; </div>
<div class="line"><a name="l00186"></a><span class="lineno"><a class="line" href="class_qwt_bezier.html#a1e67390b7109a819d29b043418bcb1b5">  186</a></span>&#160;<span class="keywordtype">void</span> <a class="code" href="class_qwt_bezier.html#a1e67390b7109a819d29b043418bcb1b5">QwtBezier::appendToPolygon</a>( <span class="keyword">const</span> QPointF&amp; p1, <span class="keyword">const</span> QPointF&amp; cp1,</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;    <span class="keyword">const</span> QPointF&amp; cp2, <span class="keyword">const</span> QPointF&amp; p2, QPolygonF&amp; polygon )<span class="keyword"> const</span></div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;<span class="keyword"></span>{</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;    <span class="keywordflow">if</span> ( m_flatness &lt;= 0.0 )</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;    {</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;        <span class="comment">// a flatness of 0.0 is not achievable</span></div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;        <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;    }</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160; </div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;    <span class="keywordflow">if</span> ( polygon.isEmpty() || polygon.last() != p1 )</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;        polygon += p1;</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160; </div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    <span class="comment">// to avoid deep stacks we convert the recursive algo</span></div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    <span class="comment">// to something iterative, where the parameters of the</span></div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;    <span class="comment">// recursive class are pushed to a stack instead</span></div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160; </div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;    <a class="code" href="class_q_stack.html">QStack&lt; BezierData &gt;</a> stack;</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;    stack.push( BezierData( p1, cp1, cp2, p2 ) );</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160; </div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;    <span class="keywordflow">while</span>( <span class="keyword">true</span> )</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;    {</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;        BezierData&amp; bz = stack.top();</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160; </div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;        <span class="keywordflow">if</span> ( bz.flatness() &lt; m_flatness )</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;        {</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;            <span class="keywordflow">if</span> ( stack.size() == 1 )</div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;            {</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;                polygon += p2;</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;                <span class="keywordflow">return</span>;</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;            }</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160; </div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;            polygon += bz.p2();</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;            stack.pop();</div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;        }</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;        <span class="keywordflow">else</span></div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;        {</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;            stack.push( bz.subdivided() );</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;        }</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;    }</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160; </div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;}</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160; </div>
<div class="line"><a name="l00239"></a><span class="lineno"><a class="line" href="class_qwt_bezier.html#a962c356b89fb7fd2343091fed1569530">  239</a></span>&#160;QPointF <a class="code" href="class_qwt_bezier.html#a962c356b89fb7fd2343091fed1569530">QwtBezier::pointAt</a>( <span class="keyword">const</span> QPointF&amp; p1,</div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;    <span class="keyword">const</span> QPointF&amp; cp1, <span class="keyword">const</span> QPointF&amp; cp2, <span class="keyword">const</span> QPointF&amp; p2, <span class="keywordtype">double</span> t )</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;{</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> d1 = 3.0 * t;</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> d2 = 3.0 * t * t;</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> d3 = t * t * t;</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> s = 1.0 - t;</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160; </div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> x = ( ( s * p1.x() + d1 * cp1.x() ) * s + d2 * cp2.x() ) * s + d3 * p2.x();</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;    <span class="keyword">const</span> <span class="keywordtype">double</span> y = ( ( s * p1.y() + d1 * cp1.y() ) * s + d2 * cp2.y() ) * s + d3 * p2.y();</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160; </div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;    <span class="keywordflow">return</span> QPointF( x, y );</div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;}</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160; </div>
<div class="ttc" id="aclass_q_stack_html"><div class="ttname"><a href="class_q_stack.html">QStack</a></div><div class="ttdef"><b>Definition:</b> <a href="qwt__plot__zoomer_8h_source.html#l00017">qwt_plot_zoomer.h:17</a></div></div>
<div class="ttc" id="aclass_qwt_bezier_html_a1cac7efebcc8bf42fe9a12552a9d727d"><div class="ttname"><a href="class_qwt_bezier.html#a1cac7efebcc8bf42fe9a12552a9d727d">QwtBezier::toPolygon</a></div><div class="ttdeci">QPolygonF toPolygon(const QPointF &amp;p1, const QPointF &amp;cp1, const QPointF &amp;cp2, const QPointF &amp;p2) const</div><div class="ttdoc">Interpolate a Bézier curve by a polygon.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8cpp_source.html#l00157">qwt_bezier.cpp:157</a></div></div>
<div class="ttc" id="aclass_qwt_bezier_html_a1e67390b7109a819d29b043418bcb1b5"><div class="ttname"><a href="class_qwt_bezier.html#a1e67390b7109a819d29b043418bcb1b5">QwtBezier::appendToPolygon</a></div><div class="ttdeci">void appendToPolygon(const QPointF &amp;p1, const QPointF &amp;cp1, const QPointF &amp;cp2, const QPointF &amp;p2, QPolygonF &amp;polygon) const</div><div class="ttdoc">Interpolate a Bézier curve by a polygon.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8cpp_source.html#l00186">qwt_bezier.cpp:186</a></div></div>
<div class="ttc" id="aclass_qwt_bezier_html_a53b980b7397ef4bdcbc011d6556108b8"><div class="ttname"><a href="class_qwt_bezier.html#a53b980b7397ef4bdcbc011d6556108b8">QwtBezier::tolerance</a></div><div class="ttdeci">double tolerance() const</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8h_source.html#l00056">qwt_bezier.h:56</a></div></div>
<div class="ttc" id="aclass_qwt_bezier_html_a5c0ad844ea7d4ee69f3c391fd1a93ae7"><div class="ttname"><a href="class_qwt_bezier.html#a5c0ad844ea7d4ee69f3c391fd1a93ae7">QwtBezier::setTolerance</a></div><div class="ttdeci">void setTolerance(double tolerance)</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8cpp_source.html#l00141">qwt_bezier.cpp:141</a></div></div>
<div class="ttc" id="aclass_qwt_bezier_html_a750ad26d6b7a3c37685f03db98868d3f"><div class="ttname"><a href="class_qwt_bezier.html#a750ad26d6b7a3c37685f03db98868d3f">QwtBezier::~QwtBezier</a></div><div class="ttdeci">~QwtBezier()</div><div class="ttdoc">Destructor.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8cpp_source.html#l00123">qwt_bezier.cpp:123</a></div></div>
<div class="ttc" id="aclass_qwt_bezier_html_a7b74d8e4874bc39110c84f74594d61b9"><div class="ttname"><a href="class_qwt_bezier.html#a7b74d8e4874bc39110c84f74594d61b9">QwtBezier::QwtBezier</a></div><div class="ttdeci">QwtBezier(double tolerance=0.5)</div><div class="ttdoc">Constructor.</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8cpp_source.html#l00116">qwt_bezier.cpp:116</a></div></div>
<div class="ttc" id="aclass_qwt_bezier_html_a962c356b89fb7fd2343091fed1569530"><div class="ttname"><a href="class_qwt_bezier.html#a962c356b89fb7fd2343091fed1569530">QwtBezier::pointAt</a></div><div class="ttdeci">static QPointF pointAt(const QPointF &amp;p1, const QPointF &amp;cp1, const QPointF &amp;cp2, const QPointF &amp;p2, double t)</div><div class="ttdef"><b>Definition:</b> <a href="qwt__bezier_8cpp_source.html#l00239">qwt_bezier.cpp:239</a></div></div>
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